vscode: "Server returned 404" when trying to install different versions of extensions in VS Code

• VSCode Version: 1.45.1
• OS Version: Windows 10

Steps to Reproduce:

1. Open the extensions view and install the Python extension (or the Docker extension)
2. Click to install a different version of the extension
3. See the “Server returned 404” notification prompt

Does this issue occur when all extensions are disabled?: No

The issue was originally filed here: https://github.com/Microsoft/vscode-python/issues/12217, but it can also be reproduced with the Docker extension.

Log (Window):

[2020-06-09 10:59:40.899] [renderer1] [error] Server returned 404: Error: Server returned 404
    at Object.t.asJson (file:///C:/Users/luabud/AppData/Local/Programs/Microsoft VS Code/resources/app/out/vs/workbench/workbench.desktop.main.js:1839:954)
    at file:///C:/Users/luabud/AppData/Local/Programs/Microsoft VS Code/resources/app/out/vs/workbench/workbench.desktop.main.js:2030:39
    at async Promise.all (index 13)